k-means clustering - Clustering

k-means clustering – Clustering

Question 1 UGC NET June-2020
Given below are two statements:
If two variables V1and V2 are used for clustering, then consider the following statements for k means clustering with k=3
Statement I: If V1 and V2 have correlation of 1 the cluster centroid will be in straight line.
Statement II: If V1 and V2 have correlation of 0 the cluster centroid will be in straight line.
In the light of the above statements, choose the correct answer from the options given below

A – Both Statement I and Statement II are true

B – Both Statement I and Statement II are false

C – Statement I is correct but Statement II is false

D – Statement I is incorrect but Statement II is true

Show Answer With Best Explanation

Answer: C
Explanation:
If the correlation between the variables V1 and V2 is 1, then all the data points will be in a straight line. Hence, all the three cluster centroids will form a straight line as well.